document.write( "Question 356352: Find an equation for the linear function satisfying the condition that the graph of its inverse function is perpendicular to the line 4x+ 2y-3 passing through the point (-1,1) \n" ); document.write( "

Algebra.Com's Answer #254375 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi,\r
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document.write( "question states its inverse function is perpendicular to 2x +2y - 3 = 0
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document.write( "4x +2y - 3 = 0
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document.write( "y = -2x + 3/2  slope m = -2
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document.write( "standard slope intercept form of an equation of a line is
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document.write( "y= mx + b
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document.write( "two lines with slopes that are negative reciprocals of each other are perpendicular to each other
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document.write( "inverse function would have a slope m = (1/2)
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document.write( "y = (1/2)x + b
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document.write( "Using Pt(-1,1)to solve for b
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document.write( "1 = -1/2 + b
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document.write( "b = 3/2
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document.write( "y = (1/2)x +3/2
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document.write( "The procedure for finding the inverse of a linear function is fairly basic.
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document.write( "1. Switch “x” and “y”.
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document.write( "2. Solve for “y”.
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document.write( "x = (1/2)y + 3/2
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document.write( "2x  = y + 3
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document.write( "2x - 3 = y   (blue line)
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